Random Vibrations

Random Vibrations

Analysis of Structural and Mechanical Systems

1st Edition - December 2, 2003

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  • Authors: Loren Lutes, Shahram Sarkani
  • Hardcover ISBN: 9780750677653
  • eBook ISBN: 9780080470030

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The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing. Study and mastery of this topic enables engineers to design and maintain structures capable of withstanding random vibrations, thereby protecting human life.Random Vibrations will lead readers in a user-friendly fashion to a thorough understanding of vibrations of linear and nonlinear systems that undergo stochastic—random—excitation.

Key Features

  • Provides over 150 worked out example problems and, along with over 225 exercises, illustrates concepts with true-to-life engineering design problems
  • Offers intuitive explanations of concepts within a context of mathematical rigor and relatively advanced analysis techniques.
  • Essential for self-study by practicing engineers, and for instruction in the classroom.


Students in graduate courses in random vibrations or probabilistic structural dynamics.

As well as agencies (in Industry and governmental) that apply the probabilistic dynamics methods included in this text

Table of Contents

  • Table of Contents
    Chapter 1 Introduction
    Chapter 2 Fundamentals of Probability and Random Variables
    Chapter 3 Expected Values of Random Variables
    Chapter 4 Analysis of Stochastic Processes
    Chapter 5 Time Domain Linear Vibration Analysis
    Chapter 6 Frequency Domain Analysis
    Chapter 7 Frequency, bandwith, and Amplitude
    Chapter 8 Matrix Analysis of Linear Systems
    Chapter 9 Direct Stochastic Analysis of Linear Systems
    Chapter 10 Introduction to Nonlinear Stochastic
    Chapter 11 Failure Analysis
    Chapter 12 Effect of Parameter Uncertainty
    Appendices A and B

Product details

  • No. of pages: 650
  • Language: English
  • Copyright: © Butterworth-Heinemann 2003
  • Published: December 2, 2003
  • Imprint: Butterworth-Heinemann
  • Hardcover ISBN: 9780750677653
  • eBook ISBN: 9780080470030

About the Authors

Loren Lutes

Affiliations and Expertise

Professor Emeritus and Adjunct Professor of Civil Engineering; Department of Civil Engineering, Texas A&M University

Shahram Sarkani

Affiliations and Expertise

George Washington University

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